(Solved): Consider the following. h(x) = 5x 2-3x-4 (a) State the domain of the function. O all real numbers x ...

Consider the following. h(x) = 5x 2-3x-4 (a) State the domain of the function. O all real numbers x except x-0 O all real numbers x except x-1 and x = 4 O all real numbers x except x = 4 O all real numbers x except x=-1 O all real numbers x except x-4 (b) Identify all intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = y-intercept (x, y) = (c) Find any vertical and horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.) (d) Plot additional solution points as needed to sketch the graph of the rational function.